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Finding the Fourth Proportional to 9,614.40, 14,409.96 and 4,676.64

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Solution

The fourth proportional to 9,614.40, 14,409.96 and 4,676.64 is: 7,009.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.40 : 14,409.96 = 4,676.64 : x
  2. Step 2: Convert to fraction form
    9,614.40/14,409.96 = 4,676.64/x
  3. Step 3: Cross multiply
    9,614.40x = 14,409.96 × 4,676.64
  4. Step 4: Simplify right side
    9,614.40x = 67,390,195.33
  5. Step 5: Solve for x
    x = 67,390,195.33/9,614.40
  6. Step 6: Final answer
    x = 7,009.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.